Dolores is working on her flower garden. Her garden is a square with an area of 81 square feet. She wants to cover a circular area inside her garden with mulch. The edge of the circle will touch each side of the square. How many square feet will be covered in mulch?

Respuesta :

Answer:

63.62 ft²

Step-by-step explanation:

Area of a square is given by b*b=b²

Where b is the measurement of any side

Given area of 81 ft² then to get b, we get rhe squareroot

b²=81

b=√81=9

This 9 is the diameter of rhe circular area that mulch covers.

Radius is half the diameter hence 0.5*9=4.5 ft

The area of circle will be given by

A=πr²

Substituting 4.5 in for r then

A=π*4.5²=63.6172512351933 ft²

Rounded off as 63.62 ft²